MODELLING WITH GENERALIZED CYLINDER SURFACES

Radu Trimbitas; Delia Dragan; Raluca Nerisanu; Marius Birou

Authors

Radu Trimbitas Ph.D. Babes-Bolyai University
Delia Dragan Ph.D. Eng. Technical University of Cluj-Napoca
Raluca Nerisanu Ph.D. Eng. Technical University of Cluj-Napoca
Marius Birou Ph.D. Technical University of Cluj-Napoca https://orcid.org/0000-0003-0679-9338

Keywords:

generalized cylinder surface, hypocycloid, epicycloid, modelling surfaces, curve

Abstract

This paper presents several of the most interesting surfaces generated by the spine curve of a generalized cylinder surface, with known parameters exhibiting advantages related to the calculation and drawing of the surface.

Downloads

Download data is not yet available.

Author Biographies

Radu Trimbitas Ph.D., Babes-Bolyai University

Associate Professor Faculty of Mathematics and Computer Science, Department of Mathematics

Delia Dragan Ph.D. Eng., Technical University of Cluj-Napoca

Professor Faculty of Civil Engineering, Department of Railways, Roads and Bridges

Raluca Nerisanu Ph.D. Eng., Technical University of Cluj-Napoca

Assistant Professor Faculty of Civil Engineering, Department of Railways, Roads and Bridges

Marius Birou Ph.D., Technical University of Cluj-Napoca

Associate Professor Faculty of Automation and Computer Science, Department of Mathematics

References

Farouki R. T., Rampersad I., (1998). Cycles upon cycles: An Anecdotal History of Higher Curves in Science and Engineering. Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, pg. 1-22, Nashville, Toronto.

Gansca I., Bronsvoort W. F., Coman G., Tambulea L., (2002). Self intersection avoidance and integral properties of generalized cylinders, Computer Aided Geometric Design, 19, Issue 9, (decembrie 2002), pp. 675-707, ISSN 0167-8396

Maekawa T., Patrikalakis N. M., Sakkalis T., Yu G., (1998). Analysis and applications of pipe surfaces, Computer Aided Geometric Design, 15, Issue 5, (mai 1998), pp. 437-458, ISSN 0167-8396

Van der Helm A., Ebell P., Bronsvoort W. F., (1998). Modelling mollusc shells with generalized cylinders, Computer & Graphics, Vol. 22, No. 4, pp. 505-513